Free Transverse Vibration of Mindlin Annular and Circular Plate with General Boundary Conditions

In this paper, free vibration of Mindlin annular plate with arbitrary boundary conditions is investigated by an accurate solution method. The effects of the restrained stiffness of the springs on modal properties are incorporated in the current framework. The displacement components can be expressed as Fourier cosine series plus auxiliary polynomial functions, which aim to eliminate the discontinuities of displacement and its derivatives at both ends and to enhance the convergence of the results effectively. The current solution method can be used to general boundary conditions without changing the calculate method, which is different from the most existing studies. Numerical examples were presented and discussed for several different geometric and material properties as well as distinct boundary conditions.